Comparing Two Distributions

Question 1

A paired box plot compares Alpha and Beta plant heights in cm. Which center comparison is correct?

Accepted Answer

Alpha's median plant height is 4 cm taller than Beta's.

Answer

Beta's median plant height is 4 cm taller than Alpha's.

Answer

Alpha's median plant height is 8 cm taller than Beta's.

Answer

Alpha has the wider middle half, 12 cm against 10 cm.

Question 2

Parallel box plots show library reading times in minutes for Pine and Maple. How do the centers compare?

Accepted Answer

Maple's median reading time is 7 minutes higher than Pine's.

Answer

Pine's median reading time is 7 minutes higher than Maple's.

Answer

Maple's median reading time is 15 minutes higher than Pine's.

Answer

Maple has the larger range, 70 minutes against 67 minutes.

Question 3

Box plots summarize clinic wait times in minutes for morning and afternoon. Which statement compares the medians?

Accepted Answer

Afternoon's median wait is 3 minutes longer than Morning's.

Answer

Morning's median wait is 3 minutes longer than Afternoon's.

Answer

Afternoon's median wait is 8 minutes longer than Morning's.

Answer

Afternoon has the larger range, 34 minutes against 22 minutes.

Question 4

A paired box plot displays robot trial times in seconds for Red and Blue. Which comparison of centers is correct?

Accepted Answer

Blue's median trial time is 4 seconds longer than Red's.

Answer

Red's median trial time is 4 seconds longer than Blue's.

Answer

Blue's median trial time is 8 seconds longer than Red's.

Answer

Red has the larger range, 30 seconds against 24 seconds.

Question 5

A box plot compares fish lengths in cm for North Pond and South Pond. What is the correct center comparison?

Accepted Answer

North Pond's median fish length is 2 cm longer than South Pond's.

Answer

South Pond's median fish length is 2 cm longer than North Pond's.

Answer

North Pond's median fish length is 4 cm longer than South Pond's.

Answer

North Pond has the larger range, 16 cm against 13 cm.

Question 6

Parallel box plots summarize soccer sprint times in seconds for Varsity and JV. Which center comparison is correct?

Accepted Answer

JV's median sprint time is 0.5 seconds longer than Varsity's.

Answer

Varsity's median sprint time is 0.5 seconds longer than JV's.

Answer

JV's median sprint time is 1.0 second longer than Varsity's.

Answer

Varsity has the larger range, 2.6 seconds against 1.7 seconds.

Question 7

Parallel box plots show daily high temperatures in °C for City L and City M. Which middle-half spread comparison is correct?

Accepted Answer

City M has the wider middle half, 10 °C against 6 °C.

Answer

City L has the wider middle half, 10 °C against 6 °C.

Answer

City M has the wider middle half, 20 °C against 13 °C.

Answer

City M has the higher median, 18 °C against 17 °C.

Question 8

Box plots display backpack masses in kg for Grade 9 and Grade 10. Which statement compares the IQRs?

Accepted Answer

The middle-half spreads are equal at 3 kg each.

Answer

Grade 9 has the wider middle half, 4 kg against 3 kg.

Answer

Grade 10 has the wider middle half, 6 kg against 3 kg.

Answer

Grade 9 has the higher median, 6 kg against 5 kg.

Question 9

Box plots summarize quiz scores out of 100 for Period A and Period B. Which spread comparison is correct?

Accepted Answer

Period B has the wider middle half, 22 points against 14 points.

Answer

Period A has the wider middle half, 22 points against 14 points.

Answer

Period B has the wider middle half, 43 points against 29 points.

Answer

Period B has the higher median, 78 points against 76 points.

Question 10

Two box plots summarize delivery times in minutes for the East and West routes. Which comparison of spread is correct?

Accepted Answer

East Route has the wider middle half, 13 minutes against 6 minutes.

Answer

West Route has the wider middle half, 13 minutes against 6 minutes.

Answer

East Route has the wider middle half, 26 minutes against 17 minutes.

Answer

East Route has the higher median, 29 minutes against 27 minutes.

Question 11

Parallel box plots show battery life in hours for Brand A and Brand B. Which statement compares the middle-half spreads?

Accepted Answer

Brand B has the wider middle half, 8 hours against 4 hours.

Answer

Brand A has the wider middle half, 8 hours against 4 hours.

Answer

Brand B has the wider middle half, 13 hours against 8 hours.

Answer

Brand A has the higher median, 11 hours against 10 hours.

Question 12

Two histograms compare hotel stays in nights for Lakeview and Airport. Which shape comparison is correct?

Accepted Answer

Lakeview is roughly symmetric while Airport has a long right tail.

Answer

Airport is roughly symmetric while Lakeview has a long right tail.

Answer

Both hotels have long right tails.

Answer

Lakeview has more 0-2 night stays than Airport.

Question 13

Two histograms compare app reaction times in ms for App A and App B. How do the shapes compare?

Accepted Answer

App A is left-skewed while App B is roughly uniform.

Answer

App A is right-skewed while App B is roughly uniform.

Answer

Both apps are symmetric and single-peaked.

Answer

App B has more 400-450 ms reaction times than App A.

Question 14

Two histograms compare tomato masses in g for Farm A and Farm B. Which shape comparison is correct?

Accepted Answer

Farm A is bimodal with low and high peaks, while Farm B is symmetric and single-peaked.

Answer

Farm A is symmetric and single-peaked, while Farm B is bimodal.

Answer

Both farms are roughly uniform across all mass bins.

Answer

Farm A has more 70-80 g tomatoes than Farm B.

Question 15

Two histograms compare commute distances in km for Downtown and Suburb. Which shape comparison is correct?

Accepted Answer

Downtown is right-skewed while Suburb is left-skewed.

Answer

Downtown is left-skewed while Suburb is right-skewed.

Answer

Both commute distributions are roughly uniform.

Answer

Downtown has more 20-25 km trips than Suburb.

Question 16

Two histograms compare daily produce sales in kg for Market A and Market B. Which shape comparison is correct?

Accepted Answer

Market A is symmetric and single-peaked, while Market B is roughly uniform.

Answer

Market A is roughly uniform, while Market B is symmetric and single-peaked.

Answer

Both markets have long right tails.

Answer

Market B has more 20-30 kg days than Market A.

Question 17

The box plots show lab completion times for two biology classes. Comparing the medians, IQRs, and outliers, which statement is correct?

Accepted Answer

Class B has the higher center, more spread, and one high outlier.

Answer

Class A has the higher center, more spread, and one high outlier.

Answer

The medians are equal, Class B is less spread out, and neither class has an outlier.

Answer

Class B has the higher center, equal spread, and no outliers.

Question 18

The box plots show package masses on two delivery routes. Comparing the medians, IQRs, and outliers, which statement is correct?

Accepted Answer

The routes have equal centers and equal spread, but Route A has a low outlier.

Answer

Route A has the higher center and greater spread, with no outliers.

Answer

Route B has the higher center and greater spread, with a low outlier.

Answer

The routes have equal centers, but Route B has greater spread and Route A has no outlier.

Question 19

The box plots show cafeteria line waits on Monday and Friday. Comparing the medians, IQRs, and outliers, which statement is correct?

Accepted Answer

Monday has the higher center, but Friday is more spread out and has a high outlier.

Answer

Friday has the higher center, Monday is more spread out, and neither day has an outlier.

Answer

The medians are equal, Friday is less spread out, and Monday has a high outlier.

Answer

Monday has the higher center, the spreads are equal, and Friday has no outliers.

Question 20

The box plots show long-jump distances in cm for East and West. Which comparison of center, spread, and outliers is correct?

Accepted Answer

West has the higher center, while East is more spread out and has a low outlier.

Answer

East has the higher center, while West is more spread out and has a low outlier.

Answer

West has the higher center, East is less spread out, and neither group has an outlier.

Answer

The centers are equal, East is more spread out, and West has a low outlier.

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Comparing Two Distributions

Ways to Play

Device Games: Students play on their phones

Blast Go

Zombie Escape

Avalanche

Maze Blast

Cave Climb

Blast Out

Mystery Auction

Tour Guide

Food Truck Rush

Tug of War

Alien Blast

Glacier Rush

Board Games: Teacher-led, projected to the class

Like what you see?

Bug Blast

BlastRace

BlastQuiz

BlastBoard

Seek & Destroy

Mystery Blast

Checkers

Texas Hold 'Em

Da Bomb

Castle Siege

Hot Potato

Market Mayhem

King of the Hill

Bank Heist

Top Corner

Comparing Two Distributions

Ways to Play

Device Games: Students play on their phones

Blast Go

Zombie Escape

Avalanche

Maze Blast

Cave Climb

Blast Out

Mystery Auction

Tour Guide

Food Truck Rush

Tug of War

Alien Blast

Glacier Rush

Board Games: Teacher-led, projected to the class

Like what you see?

More like this

Bug Blast

BlastRace

BlastQuiz

BlastBoard

Seek & Destroy

Mystery Blast

Checkers

Texas Hold 'Em

Da Bomb

Castle Siege

Hot Potato

Market Mayhem

King of the Hill

Bank Heist

Top Corner